Which of the following is equivalent to the inequality above?

Rationale

x < 4.

This inequality states that the variable x must be less than 4, representing a range of values that x can take. Any value of x that is less than 4 satisfies this condition, thus making it the equivalent statement to the original inequality presented.

A (x > -4) YOUR ANSWER

This statement implies that x can be any value greater than -4, which includes values that are greater than 4. Therefore, it does not appropriately represent the original inequality where x must be less than 4; thus, it is incorrect.

B (x > -2) YOUR ANSWER

Similar to choice A, this option indicates that x can take on any value greater than -2. This range includes values greater than 4, again failing to meet the original condition of x being less than 4. Therefore, it does not correlate with the given inequality.

C (x < 2) YOUR ANSWER

This choice suggests that x must be less than 2. While this is a subset of values less than 4, it does not encompass all possible values that satisfy the original inequality. Thus, it is too restrictive and does not represent the full range defined by x < 4.

D (x < 4) CORRECT

This option accurately reflects the requirement that x must be less than 4, matching the original inequality perfectly. It includes all values that satisfy the condition, thereby making it the correct equivalent statement.

Conclusion

The correct interpretation of the inequality is represented by the statement x < 4, indicating that x can take any value below 4. The other options provide ranges that either exceed or do not fully capture the constraints set by the original inequality, thereby confirming that D is the only valid equivalent choice.

Which of the following is equivalent to the inequality above?

x < 4.

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